SOLUTION: what are the zeros in 3x^4+4x^3-21x^2-10x+24

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Question 426461: what are the zeros in 3x^4+4x^3-21x^2-10x+24
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

what are the zeros in 

 3x^4+4x^3-21x^2-10x+24     |If x = 1 then 3+4-21+24 = 0

dividing the above by (x-1)results in:

 3x^3+7x^2-14x-24             |If x = 2 then 24+28-28-24 = 0

dividing the above by (x-2)results in:

 3x^2 + 13x +12

factoring

 (3x+4)(x+3)=0

 (3x+4)= 0  x = -4/3

  (x+3)=0   x = -3

the 4 'zeros' for x are: -3,-4/3,1,2